Solve sqrt{50}-sqrt{8}

$$\sqrt{ 50 } - \sqrt{ 8 }$$

Evaluate

$$3\sqrt{2}\approx 4.242640687$$

Solution Steps

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$5\sqrt{2}-\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$5\sqrt{2}-2\sqrt{2}$$

Combine 5\sqrt{2} and -2\sqrt{2} to get 3\sqrt{2}.

$$3\sqrt{2}$$